Question

A 10-lb bag is gently pushed off the top of a wall at point A
and swings in a vertical plane at the end of a rope of length l =
10 ft. Calculate and plot (a) the speed of the bag and the
magnitude of the tension in the rope as functions of the angle θ
from 0° to 90°, using 5° increments.

Now, assume that the rope can only withstand a maximum tension of T
before it breaks. Derive expressions for (a) the difference in
elevation h between point A and point B where the rope will break,
and (b) the distance d from the vertical wall to the point where
the bag will strike the floor. Calculate h and d for values of T
from 10 lb to 25 lb, using 1-lb increments. Use Newton’s 2nd Law
AND Work/Energy methods to solve the problem.